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242402520 = 233523711237
BaseRepresentation
bin11100111001011…
…00010011011000
3121220010022202010
432130230103120
5444023340040
640015305520
76002246613
oct1634542330
9556108663
10242402520
11114914668
126921b2a0
133b2b2559
142429d17a
1516432e80
hexe72c4d8

242402520 has 128 divisors (see below), whose sum is σ = 770135040. Its totient is φ = 60910080.

The previous prime is 242402519. The next prime is 242402521. The reversal of 242402520 is 25204242.

242402520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242402519) and next prime (242402521).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242402521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195342 + ... + 196578.

It is an arithmetic number, because the mean of its divisors is an integer number (6016680).

Almost surely, 2242402520 is an apocalyptic number.

242402520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242402520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385067520).

242402520 is an abundant number, since it is smaller than the sum of its proper divisors (527732520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242402520 is a wasteful number, since it uses less digits than its factorization.

242402520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 242402520 is about 15569.2812936243. The cubic root of 242402520 is about 623.5132833486.

Adding to 242402520 its reverse (25204242), we get a palindrome (267606762).

The spelling of 242402520 in words is "two hundred forty-two million, four hundred two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 71 92 115 120 138 142 184 213 230 276 284 345 355 426 460 552 568 690 710 852 920 1065 1237 1380 1420 1633 1704 2130 2474 2760 2840 3266 3711 4260 4899 4948 6185 6532 7422 8165 8520 9798 9896 12370 13064 14844 16330 18555 19596 24495 24740 28451 29688 32660 37110 39192 48990 49480 56902 65320 74220 85353 87827 97980 113804 142255 148440 170706 175654 195960 227608 263481 284510 341412 351308 426765 439135 526962 569020 682824 702616 853530 878270 1053924 1138040 1317405 1707060 1756540 2020021 2107848 2634810 3414120 3513080 4040042 5269620 6060063 8080084 10100105 10539240 12120126 16160168 20200210 24240252 30300315 40400420 48480504 60600630 80800840 121201260 242402520